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83676901776 = 243133110142829
BaseRepresentation
bin100110111101110001…
…0000011000110010000
321222222120212001000020
41031323202003012100
52332332241324101
6102235102223440
76021406633566
oct1157342030620
9258876761006
1083676901776
113253a47a886
1214273284b80
137b76b2c040
14409b225a36
15229b1c1136
hex137b883190

83676901776 has 160 divisors (see below), whose sum is σ = 242687800320. Its totient is φ = 24668928000.

The previous prime is 83676901771. The next prime is 83676901783. The reversal of 83676901776 is 67710967638.

It is not an unprimeable number, because it can be changed into a prime (83676901771) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1932330 + ... + 1975158.

It is an arithmetic number, because the mean of its divisors is an integer number (1516798752).

Almost surely, 283676901776 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83676901776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121343900160).

83676901776 is an abundant number, since it is smaller than the sum of its proper divisors (159010898544).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

83676901776 is a wasteful number, since it uses less digits than its factorization.

83676901776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42985 (or 42979 counting only the distinct ones).

The product of its (nonzero) digits is 16003008, while the sum is 60.

The spelling of 83676901776 in words is "eighty-three billion, six hundred seventy-six million, nine hundred one thousand, seven hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 31 39 48 52 62 78 93 101 104 124 156 186 202 208 248 303 312 372 403 404 496 606 624 744 806 808 1209 1212 1313 1488 1612 1616 2418 2424 2626 3131 3224 3939 4836 4848 5252 6262 6448 7878 9393 9672 10504 12524 15756 18786 19344 21008 25048 31512 37572 40703 42829 50096 63024 75144 81406 85658 122109 128487 150288 162812 171316 244218 256974 325624 342632 488436 513948 556777 651248 685264 976872 1027896 1113554 1327699 1670331 1953744 2055792 2227108 2655398 3340662 3983097 4325729 4454216 5310796 6681324 7966194 8651458 8908432 10621592 12977187 13362648 15932388 17260087 17302916 21243184 25954374 26725296 31864776 34520174 34605832 51780261 51908748 56234477 63729552 69040348 69211664 103560522 103817496 112468954 134097599 138080696 168703431 207121044 207634992 224937908 268195198 276161392 337406862 402292797 414242088 449875816 536390396 674813724 804585594 828484176 899751632 1072780792 1349627448 1609171188 1743268787 2145561584 2699254896 3218342376 3486537574 5229806361 6436684752 6973075148 10459612722 13946150296 20919225444 27892300592 41838450888 83676901776